IM 6.5.6 Lesson: Methods for Multiplying Decimals
Write as many expressions as you can think of that are equal to 0.6. Do not use addition or subtraction.
Elena and Noah used different methods to compute . Both calculations were correct.
Analyze the two methods:
Then discuss the following questions with your partner:
Which method makes more sense to you? Why?
What might Elena do to compute ?
What might Noah do to compute ?
Will the two methods result in the same value?
Compute the product using the equation and what you know about fractions, decimals, and place value. Explain your reasoning.
In the diagram, the side length of each square is 0.1 unit.
Explain why the area of each square is not 0.1 square unit.
How can you use the area of each square to find the area of the rectangle? Explain your reasoning.
Explain how the diagram shows that the equation is true.
Label the squares with their side lengths so the area of this rectangle represents 40 · 20.
What is the area of each square in the picture above?
Use the squares to help you find . Explain your reasoning or show it in the applet above.
Now, label the squares with their side lengths so the area of this rectangle represents (0.04) times (0.02).
Next, use the diagram to help you find . Explain your reasoning or show it in the applet above.